Finding the Third Proportional to 6,499 and 13,689

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499 : 13,689 = 13,689 : x
2. Step 2: Convert to fraction form
   6,499/13,689 = 13,689/x
3. Step 3: Cross multiply
   6,499x = 13,689 × 13,689
4. Step 4: Simplify right side
   6,499x = 187,388,721
5. Step 5: Solve for x
   x = 187,388,721/6,499
6. Step 6: Final answer
   x = 28,833.47